the integer 49 can be written as the sum of smaller perfect squares in a variety of ways. one such way includes six terms: 25+9+4+1+1. if each term has a value between 0 and 49,what is the fewest number of perfect square terms that can be added together for a sum of 49?
5 answers
What is this
First, we would like to determine if 49 can be written as the sum of two perfect squares.
49 - 1 = 48, which is not a perfect square.
49 - 4 = 45, which is not a perfect square.
49 - 9 = 40, which is not a perfect square.
49 - 16 = 33, which is not a perfect square.
49 - 25 = 24, which is not a perfect square.
We don't need to check any other squares, as 25 > 49/2.
Now, we check to see if there are three perfect squares that sum to 49. With a little work, we see that 49 = 4 + 9 + 36. Thus, the fewest number of perfect square terms that can be added together to sum to 49 is 3.
hope dis halps!
may Nayru guide you! :) (U probably don't know wut I'm talking about.)
49 - 1 = 48, which is not a perfect square.
49 - 4 = 45, which is not a perfect square.
49 - 9 = 40, which is not a perfect square.
49 - 16 = 33, which is not a perfect square.
49 - 25 = 24, which is not a perfect square.
We don't need to check any other squares, as 25 > 49/2.
Now, we check to see if there are three perfect squares that sum to 49. With a little work, we see that 49 = 4 + 9 + 36. Thus, the fewest number of perfect square terms that can be added together to sum to 49 is 3.
hope dis halps!
may Nayru guide you! :) (U probably don't know wut I'm talking about.)
thank you
Toon Link copied word for word from my website!(Brain.ly)
the person in the brain.ly also cheated, that's aops's answer bruh
2 answers